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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 25350m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25350.l1 | 25350m1 | \([1, 1, 0, 127930, -21900]\) | \(13436683/7776\) | \(-133998454077228000\) | \([]\) | \(312000\) | \(1.9759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25350m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25350m do not have complex multiplication.Modular form 25350.2.a.m
sage: E.q_eigenform(10)